30407680 has 44 divisors (see below), whose sum is σ = 72955080. Its totient is φ = 12161024.

The previous prime is 30407669. The next prime is 30407681. The reversal of 30407680 is 8670403.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30407681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2151 + ... + 8089.

It is an arithmetic number, because the mean of its divisors is an integer number (1658070).

Almost surely, 2^30407680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36477540).

30407680 is an abundant number, since it is smaller than the sum of its proper divisors (42547400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30407680 is an equidigital number, since it uses as much as digits as its factorization.

30407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 30407680 is about 5514.3159140550. The cubic root of 30407680 is about 312.1244298782.

The spelling of 30407680 in words is "thirty million, four hundred seven thousand, six hundred eighty".